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Finding the Fourth Proportional to 38,851.48, 53,619.20 and 23,753

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Solution

The fourth proportional to 38,851.48, 53,619.20 and 23,753 is: 32,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851.48 : 53,619.20 = 23,753 : x
  2. Step 2: Convert to fraction form
    38,851.48/53,619.20 = 23,753/x
  3. Step 3: Cross multiply
    38,851.48x = 53,619.20 × 23,753
  4. Step 4: Simplify right side
    38,851.48x = 1,273,616,857.60
  5. Step 5: Solve for x
    x = 1,273,616,857.60/38,851.48
  6. Step 6: Final answer
    x = 32,781.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.